Oscillating Magnetohydrodynamic Stability Self-gravitating Fluid Cylinder Pervaded By General Varying Magnetic Field

Authors

S. S. Elazab, Mathematics Department, Faculty of Women, Ain Shams University, Cairo, EgyptFollow
A. A. Hasan, Basic and Applied Sciences Department, College of Engineering and Technology, Arab Academy for Science and Technology and Maritime Transport (AASTMT), Aswan, EgyptFollow
Z. M. Ismail, Mathematics Department, Faculty of Women, Ain Shams University, Cairo, EgyptFollow
R. K. Mohamed, Mathematics Department, Faculty of Women, Ain Shams University, Cairo, EgyptFollow

Abstract

The dispersion relation of magnetohydrodynamic stability of an oscillation self-gravitating flowing fluid cylindrical enclosed by varying magnetic field is studied. The problem is specified, investigated analytically and the data verified mathematically, the fundamental equations are resolved, non-singular solutions are found using the proper boundary circumstances, also, derived the total second order integro-differential equation of Mathieu equation type. Just the small axisymmetric region is destabilized by the capillary force but is stabilized by the otherwise perturbation modes. The constant magnetic field that permeates the fluid is strongly stabilized regardless of the perturbation type, while the varied magnetic field bound the fluid is completely destabilized in axisymmetric mode(m=0), but it is either so or not in the non-axisymmetric (𝑚 ≥ 1) perturbation per the constraint. Moreover, the fluids oscillating flow has a potent inclination to stabilize. Once the capillary forces destabilising effect on the model is diminished and subdued, stability develops.

Recommended Citation

S. Elazab, S.; A. Hasan, A.; M. Ismail, Z.; and K. Mohamed, R. (2023) "Oscillating Magnetohydrodynamic Stability Self-gravitating Fluid Cylinder Pervaded By General Varying Magnetic Field," Information Sciences Letters: Vol. 12 : Iss. 7 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol12/iss7/58